Least Common Multiple of 10005 and 10009
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10005 and 10009 the smallest integer that is 100140045 that is divisible by both numbers.
Least Common Multiple (LCM) of 10005 and 10009 is 100140045.
LCM(10005,10009) = 100140045
LCM of 10005 and 10009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10005 and 10009 by Prime method
- Least Common Multiple of 10005 and 10009 with GCF Formula
LCM of 10005 and 10009 is 100140045
Least common multiple can be found by multiplying the highest exponent prime factors of 10005 and 10009. First we will calculate the prime factors of 10005 and 10009.
Prime Factorization of 10005
| 3 | 10005 |
| 5 | 3335 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 10005 are 3, 5, 23,29. Prime factorization of 10005 in exponential form is:
10005 = 31×51×231×291
Prime Factorization of 10009
| 10009 | 10009 |
| 1 |
Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:
10009 = 100091
Now multiplying the highest exponent prime factors to calculate the LCM of 10005 and 10009.
LCM(10005,10009) = 31×51×231×291×100091
LCM(10005,10009) = 100140045
Factors of 10005
List of positive integer factors of 10005 that divides 10005 without a remainder.
1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005
Factors of 10009
List of positive integer factors of 10009 that divides 10009 without a remainder.
1, 10009
Least Common Multiple of 10005 and 10009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10005 and 10009, than apply into the LCM equation.
GCF(10005,10009) = 1
LCM(10005,10009) = ( 10005 × 10009) / 1
LCM(10005,10009) = 100140045 / 1
LCM(10005,10009) = 100140045
Properties of LCM 10005 and 10009
(i) The LCM of 10009 and 10005 is associative
LCM of 10005 and 10009 = LCM of 10009 and 10005
Related Least Common Multiples of 10005
Related Least Common Multiples of 10009
Frequently Asked Questions on LCM of 10005 and 10009
1. What is the LCM of 10005 and 10009?
Answer: LCM of 10005 and 10009 is 100140045.
2. What are the Factors of 10005?
Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.
3. What are the Factors of 10009?
Answer: Factors of 10009 are 1, 10009. There are 2 integers that are factors of 10009. The greatest factor of 10009 is 10009.
4. How to Find the LCM of 10005 and 10009?
Answer:
Least Common Multiple of 10005 and 10009 = 100140045
Step 1: Find the prime factorization of 10005
10005 = 3 x 5 x 23 x 29
Step 2: Find the prime factorization of 10009
10009 = 10009
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100140045 = 3 x 5 x 23 x 29 x 10009
Step 4: Therefore, the least common multiple of 10005 and 10009 is 100140045.
